Hyperloop: Air compression

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. The Hyperloop reduces friction between the pods and the tunnel by supporting the pod on a cushion of air. This air is gathered through the front of the pod and compressed from the initial ambient pressure and temperature of \(99~\mbox{Pa}\) and \(293~\mbox{K}\) to \(2.1~\mbox{kPa}\) and \(857~\mbox{K}\). The intake rate of air is \(1.43~\mbox{kg/s}\). What is the rate of heat energy gain for the air during compression in Watts?

(The Hyperloop has a water cooling system to cool the air back down so that the air cushion system is not expelling incredibly hot air into the tunnel.)

Details and assumptions

Assume for this problem that the specific heat of air is \(1000~\mbox{J/kg K}\).